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Finding the Fourth Proportional to 11,753.85, 16,220.31 and 6,448.68

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Solution

The fourth proportional to 11,753.85, 16,220.31 and 6,448.68 is: 8,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.85 : 16,220.31 = 6,448.68 : x
  2. Step 2: Convert to fraction form
    11,753.85/16,220.31 = 6,448.68/x
  3. Step 3: Cross multiply
    11,753.85x = 16,220.31 × 6,448.68
  4. Step 4: Simplify right side
    11,753.85x = 104,599,588.69
  5. Step 5: Solve for x
    x = 104,599,588.69/11,753.85
  6. Step 6: Final answer
    x = 8,899.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.